scientific article; zbMATH DE number 7158654

zbMath1432.51018MaRDI QIDQ5211357

Junyao Peng, Jiamin Wang, Yong Zhang

Publication date: 28 January 2020

Full work available at URL: http://forumgeom.fau.edu/FG2018volume18/FG201843index.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

integral triangleselliptic curvescommon areacommon perimetertrapezoids pairs

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Length, area and volume in real or complex geometry (51M25) Cubic and quartic Diophantine equations (11D25) Elementary problems in Euclidean geometries (51M04)

Related Items (4)

On an elliptic curve involving pairs of triangles and special quadrilaterals ⋮ \({\theta}\)-triangle and \({\omega}\)-parallelogram pairs with common area and common perimeter ⋮ Integral triangles and perpendicular quadrilateral pairs with a common area and a common perimeter ⋮ Rational triangle pairs and cyclic quadrilateral pairs with areas and perimeters in certain proportions

Cites Work

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• Right triangle and parallelogram pairs with a common area and a common perimeter
• A unique pair of triangles
• Integral isosceles triangle-parallelogram and Heron triangle-rhombus pairs with a common area and common perimeter
• Integral right triangle and rhombus pairs with a common area and a common perimeter
• My Favorite Elliptic Curve: A Tale of Two Types of Triangles
• TRIANGLE-RECTANGLE PAIRS WITH A COMMON AREA AND A COMMON PERIMETER

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